A shipping container will be used to transport several 90-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 13700 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 90-kilogram crates that can be loaded onto the shipping container?

Question

A shipping container will be used to transport several 90-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 13700 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 90-kilogram crates that can be loaded onto the shipping container?

Answer
Multiple Choice Answers
23000, is less than or equal to, 13700, c, plus, 9023000≤13700c+90
90, c, plus, 13700, is greater than or equal to, 2300090c+13700≥23000
23000, is greater than or equal to, 13700, c, plus, 9023000≥13700c+90
90, c, plus, 13700, is less than or equal to, 2300090c+13700≤23000

Answer 1

The correct inequality is:

90c + 13700 ≤ 23000

Answer 2

The correct inequality that can be used to determine the greatest number of 90-kilogram crates that can be loaded onto the shipping container is:

23000 ≥ 13700c + 90

Answer 3

To determine the greatest number of 90-kilogram crates that can be loaded onto the shipping container, we need to subtract the weight of the already loaded shipments from the maximum weight that can be loaded into the container.

Let's call the greatest number of 90-kilogram crates that can be loaded onto the shipping container "c."

The weight of the already loaded shipments is 13700 kilograms.

The maximum weight that can be loaded into the container is 23000 kilograms.

So, the total weight of the crates that can be loaded is equal to the maximum weight minus the weight of the already loaded shipments:

Total weight of crates = Maximum weight - Weight of already loaded shipments
Total weight of crates = 23000 - 13700

Now, the weight of each crate is 90 kilograms. So, to find the greatest number of crates, we divide the total weight of crates by the weight of each crate (90 kilograms):

Greatest number of crates (c) = (23000 - 13700) / 90

Simplifying the equation:
c = 9300 / 90
c ≈ 103.33

Since we can't have a fraction of a crate, we round down to the nearest whole number to find the greatest number of crates:

c = 103

So, we can load a maximum of 103 crates into the shipping container.

Now, looking at the answer choices, we can see that the correct inequality is:

23000 ≥ 13700c + 90